Final answer:
A) Median and Interquartile Range (IQR)
The median and Interquartile Range (IQR) are considered to be resistant to extreme values.
Step-by-step explanation:
When considering measures of central location and variability that are resistant to extreme values, the correct answer is A) Median and Interquartile Range (IQR). The median is the value that divides a rank-ordered set of data into two halves, which means that exactly half the values are above the median and half are below, regardless of how extreme they may be. Hence, it is not affected by outliers or skewed data. On the other hand, the interquartile range, or IQR, represents the range of the middle 50 percent of the data, found by subtracting the first quartile (Q1) from the third quartile (Q3), thus also being resistant to extreme values since it only accounts for the central portion of the data set and excludes the tails.
The mean and range are both sensitive to outliers and are not considered resistant measures. The same applies to the mode and standard deviation. Therefore, options B), C), and D) do not provide measures that are resistant to extreme values as the median and IQR do.